Finding the Third Proportional to 278,322.50 and 416,750

Step by Step Solution

1. Step 1: Write the proportion equation
   278,322.50 : 416,750 = 416,750 : x
2. Step 2: Convert to fraction form
   278,322.50/416,750 = 416,750/x
3. Step 3: Cross multiply
   278,322.50x = 416,750 × 416,750
4. Step 4: Simplify right side
   278,322.50x = 173,680,562,500
5. Step 5: Solve for x
   x = 173,680,562,500/278,322.50
6. Step 6: Final answer
   x = 624,026.31